English

Kippenhahn curves of some tridiagonal matrices

Functional Analysis 2020-11-03 v1

Abstract

Tridiagonal matrices with constant main diagonal and reciprocal pairs of off-diagonal entries are considered. Conditions for such matrices with sizes up to 6-by-6 to have elliptical numerical ranges are obtained.

Keywords

Cite

@article{arxiv.2011.00849,
  title  = {Kippenhahn curves of some tridiagonal matrices},
  author = {Natália Bebiano and Joáo da Providéncia and Ilya M. Spitkovsky and Kenya Vazquez},
  journal= {arXiv preprint arXiv:2011.00849},
  year   = {2020}
}

Comments

20 pages, 4 figures

R2 v1 2026-06-23T19:50:24.175Z